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Finding the Fourth Proportional to 98,857, 148,285.50 and 39,733.48

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Solution

The fourth proportional to 98,857, 148,285.50 and 39,733.48 is: 59,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,857 : 148,285.50 = 39,733.48 : x
  2. Step 2: Convert to fraction form
    98,857/148,285.50 = 39,733.48/x
  3. Step 3: Cross multiply
    98,857x = 148,285.50 × 39,733.48
  4. Step 4: Simplify right side
    98,857x = 5,891,898,948.54
  5. Step 5: Solve for x
    x = 5,891,898,948.54/98,857
  6. Step 6: Final answer
    x = 59,600.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.